8630410000 has 75 divisors (see below), whose sum is σ = 20917601881. Its totient is φ = 3448448000.

The previous prime is 8630409913. The next prime is 8630410001. The reversal of 8630410000 is 140368.

The square root of 8630410000 is 92900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8451492624 + 178917376 = 91932^2 + 13376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8630410001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9289536 + ... + 9290464.

Almost surely, 2^8630410000 is an apocalyptic number.

8630410000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8630410000 is the 92900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8630410000

8630410000 is an abundant number, since it is smaller than the sum of its proper divisors (12287191881).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8630410000 is an frugal number, since it uses more digits than its factorization.

8630410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 8630410000 is about 2051.2116572932.

Multiplying 8630410000 by its product of nonzero digits (576), we get a square (4971116160000 = 2229600²).

Adding to 8630410000 its reverse (140368), we get a palindrome (8630550368).

The spelling of 8630410000 in words is "eight billion, six hundred thirty million, four hundred ten thousand".